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Fill scalar multiplication of finitely additive measures - #700

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Chessing234:feat/fam-smul-additive
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Fill scalar multiplication of finitely additive measures#700
Chessing234 wants to merge 1 commit into
teorth:mainfrom
Chessing234:feat/fam-smul-additive

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@Chessing234

@Chessing234 Chessing234 commented Sep 7, 2026

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Summary

  • Scalar multiplication of a finitely additive measure stays nonnegative, vanishes on the empty set, and distributes over disjoint unions because multiplication by a nonnegative extended real is linear.

Test plan

  • lake build Analysis.MeasureTheory.Section_1_4_3; CI covers the module.

Nonnegativity and empty come from EReal; additivity is left-distributivity of the ENNReal coercion.
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